{
  "id": "2301.10849",
  "version": "v1",
  "published": "2023-01-25T22:17:14.000Z",
  "updated": "2023-01-25T22:17:14.000Z",
  "title": "Two-loop helicity amplitudes for $H+$jet production to higher orders in the dimensional regulator",
  "authors": [
    "Thomas Gehrmann",
    "Petr Jakubčík",
    "Cesare Carlo Mella",
    "Nikolaos Syrrakos",
    "Lorenzo Tancredi"
  ],
  "comment": "32 pages; 3 figures, 3 tables; ancillary files with results in Mathematica format",
  "categories": [
    "hep-ph"
  ],
  "abstract": "In view of the forthcoming High-Luminosity phase of the LHC, next-to-next-to-next-to-leading (N$^3$LO) calculations for the most phenomenologically relevant processes become necessary. In this work, we take the first step towards this goal for H$+$jet production by computing the one- and two-loop helicity amplitudes for the two contributing processes, $H\\to ggg$, $H\\to q\\bar{q}g$, in an effective theory with infinite top quark mass, to higher orders in the dimensional regulator. We decompose the amplitude in scalar form factors related to the helicity amplitudes and in a new basis of tensorial structures. The form factors receive contributions from Feynman integrals which were reduced to a novel canonical basis of master integrals. We derive and solve a set of differential equations for these integrals in terms of Multiple Polylogarithms (MPLs) of two variables up to transcendental weight six.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-25T22:17:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-loop helicity amplitudes",
      "jet production",
      "higher orders",
      "dimensional regulator",
      "form factors receive contributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}